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Showing 1 to 6 of 6 for “"Stabilized Finite Elements"”.
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Stabilized finite elements for compressible turbulent Navier-Stokes
In this research a stabilized finite element approach is utilized in the development of a high-order flow solver for compressible turbulent flows. The Reynolds averaged Navier-Stokes (RANS) equations and modified Spalart-Almaras (SA) turbulence model are discretized using the streamline/upwind …
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Stabilized Finite Elements and a Domain Decomposition Method for First-Order Transient Problems
In the third part, a novel domain decomposition method for first-order transient nonlinear problems is presented. To the author's knowledge the proposed method is the only known robust domain decomposition method for transient problems that enables arbitrary numeric schemes to be coupled with …
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Parallel Multigrid Method for Adaptive Finite Elements with Application to 3D Flow Problems
… flows. A focal point is the analysis of a finite element discretization with stabilized finite elements of degree two. Aspects of error estimation, solution techniques and mesh adaptivity are discussed with regard to the Navier-Stokes equations. Using a well established Navier-Stokes …
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Stabilized Finite Element Methods for Feedback Control of Convection Diffusion Equations
… and compare this scheme to the standard Galerkin finite element method. We use cubic B-splines in order to keep the higher order terms that occur in GLS formulation. We conduct a careful numerical investigation into the convergence and accuracy of the functional gains computed using stabilization. …
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A variational multiscale a-posteriori error estimation method for nearly incompressible elasticity
… framework for a mixed displacement-pressure finite element method for nearly incompressible elasticity that is based on variational multiscale concepts. The displacement field is decomposed into coarse scales captured by the finite element mesh and fine scales representing the part of the …
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Proper Orthogonal Decomposition for Reduced Order Control of Partial Differential Equations
Numerical models of PDE systems can involve very large matrix equations, but feedback controllers for these systems must be computable in real time to be implemented on physical systems. Classical control design methods produce controllers of the same order as the numerical models. Therefore, …